Simple Formula for High-Energy Gluon Bremsstrahlung in a Finite, Expanding Medium
Abstract
Previous authors have considered the problem of the medium effects on single gluon bremsstrahlung associated with producing a high-energy particle in a finite, time-dependent QCD plasma. Working to leading logarithmic order, I show that the result for the bremsstrahlung gluon spectrum can be cast into a remarkably simple form in the general case. I similarly analyze the process of pair production. Also, I comment on the radius of convergence of the opacity expansion in cases where the leading-log approximation holds, showing that the opacity expansion does not converge when the thickness of the plasma is greater than roughly the bremsstrahlung formation time. Additionally, as a special bonus -- available for a limited time only while supplies last! -- I summarize translations between the notation used by a few of the groups who have worked on this and related problems.
Keywords
Cite
@article{arxiv.0808.2767,
title = {Simple Formula for High-Energy Gluon Bremsstrahlung in a Finite, Expanding Medium},
author = {Peter Arnold},
journal= {arXiv preprint arXiv:0808.2767},
year = {2009}
}
Comments
25 pages, 1 figure [changes from v1: clarifications made as to range of validity of results for small medium size]